Colloquium: A friendly introduction to arithmetic hypergeometric functions

Abstract: Hypergeometric functions are a class of highly symmetric special funcitions playing fundamental roles in mathematics and physics. In this talk, we will give an overview for hypergeometric functions of one variable with arithmetic origin by introducing three mutually enriching aspects of arithmetic hypergeometric functions. Under special assumptions, we derive an explicit Hypergeometric-Modularity method for relating hypergeometic objects to modular forms, which form another important class of functions in number theory.

Host: Wanlin Li

Reception to follow at Cupples I, Room 200 (Lounge) from 2:00 - 3:00 pm.